Chocolate Mud Cake

Name: Chocolate Mud Cake
Prep time: 30 min
Cook time: 1 h 10 min
Total time: 1 h 40 min
Cuisine: American
Ingredients: 4 oz bittersweet chocolate (chopped); 2 sticks unsalted butter, cubed (1 cup ); 1 1/2 cups granulated sugar; 1 cup milk (skim, 1% or 2%); 2 large eggs; 2 cups all purpose flour; 3/4 tsp baking powder; 1/8 tsp salt; 2 tbsp natural unsweetened cocoa powder; 1 cup milk or semi-sweet chocolate chips (melted); 2 sticks unsalted butter, softened (1 cup ); 1/2 cup powdered sugar; 1 tsp vanilla extract